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Finding the Fourth Proportional to 6,852.40, 10,286.70 and 6,803.80

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Solution

The fourth proportional to 6,852.40, 10,286.70 and 6,803.80 is: 10,213.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,852.40 : 10,286.70 = 6,803.80 : x
  2. Step 2: Convert to fraction form
    6,852.40/10,286.70 = 6,803.80/x
  3. Step 3: Cross multiply
    6,852.40x = 10,286.70 × 6,803.80
  4. Step 4: Simplify right side
    6,852.40x = 69,988,649.46
  5. Step 5: Solve for x
    x = 69,988,649.46/6,852.40
  6. Step 6: Final answer
    x = 10,213.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.